We last made the trip during the first week of February. We enter I-95 at exit 33 in SC so I cannot comment on points north though I do not recall any construction on I-26. The southern portion of SC and northern portion of GA are construction free. Starting somewhere near mile marker 75 in GA construction begins. There were two lengthy stretches in GA.
No problems in FL. Have read that the best way to negotiate Jax during high traffic periods is to take route 9A (eastern beltway.) Have made the trip many times and have always utilized I-95 during low traffic periods and I-295 during more congested times.
Depending on your departure time you may want to utilize 9A and the Greenway around Orlando.